Question

The average score of a batsman after his 30th match was 25.5. After the 40th match, his average score increased by 3.2. What is his average score in the last ten matches?

• A. 38.3
• B. 36.3
• C. 40.3
• D. 42.3

Hint:

To find average of a part of data, subtract total sums and divide by number of parts.

Answer 1

The Correct Option is A

Step 1: Understand given data
- Average after 30 matches = 25.5
- Average after 40 matches = 25.5 + 3.2 = 28.7
Step 2: Calculate total runs scored
- Total runs after 30 matches = 30 × 25.5 = 765
- Total runs after 40 matches = 40 × 28.7 = 1148
Step 3: Calculate runs in last 10 matches
Runs scored in last 10 matches = 1148 - 765 = 383
Step 4: Calculate average in last 10 matches
Average = Total runs in last 10 matches ÷ 10 = 383 ÷ 10 = 38.3
Thus, Option (A) 38.3 is correct.